Introduction
- Introduction to Scalars and Vectors
- Product of two vectors
- Triple Product of Vectors
- Vector Algebra
- Integration of vectors and its applications
What you'll learn
- Identify Physical quantities
- Vector algebra,Product of vectors
- Partial derivative, Gradient, Operator, Laplacian Operator, Divergence , Curl
- Gauss Divergence and Stoke's Theorem
Description
Hey!! In this course , I gave lectures on "Mathematical Background : Scalars and Vectors ".
Watch the complete lectures to know about the Scalars and Vectors :)
Timestamps for the chapters in the course are as follows:
Format for Timestamp : (hh:mm:ss)
Lecture 1:
00:00:00 : Introduction
00:00:23 : Scalar Quantities (Definition, Laws of addition of scalars)
00:02:52 : Vector Quantities (Definition)
00:03:34 : Vector Notation
00:04:33 : Types of Vectors (Negative vectors, Equal vectors, Co-initial vectors, Collinear vectors, Zero vector, Unit vector)
00:07:51 : Laws of Vector addition
00:08:22 : Triangle Law of Vector addition
00:14:57 : Parallelogram law of Vector addition
Lecture 2:
00:00:00 : Vectors in Coordinate system
00:00:52 : Rectangular Component of Vector
00:01:42 : Numerical 1 (Question| Solution)
00:05:34 : Product of two Vectors (Scalar product and Vector product)
00:05:50 : Scalar Product (Detailed explanation)
00:08:22 : Numerical 2 (Question| Solution)
00:10:43 : Numerical 3 (Question| Solution)
Lecture 3:
00:00:00 : Vector Product (Detailed explanation)
00:02:09 : Numerical 4 (Question| Solution)
00:04:35 : Triple Product of Vectors
00:06:01 : Numerical 5 (Question| Solution)
00:10:39 : Numerical 6 (Question| Solution)
Lecture 4:
00:00:00 : Differential coefficients of products of vectors
00:02:42 : Scalar and Vector Fields (with examples and illustration)
00:03:45 : Partial Derivatives (Representation and notation)
00:04:39 : Gradient (Representation and notation)
00:05:34 : Operator (Representation and notation)
00:07:25 : Divergence of Vector
00:08:55 : Curl of Vector
00:10:19 : Laplacian Operator
00:11:48 : Numerical 7 (Question| Solution)
00:13:27 : Numerical 8 (Question| Solution)
00:14:20 : Numerical 9 (Question| Solution)
Lecture 5:
00:00:00 : Integration of Vectors (Line Integral | Surface Integral | Volume Integral)
00:01:03 : Vector Identities
00:02:35 : Gauss Divergence Theorem (Quantitative idea only)
00:03:20 : Stoke's Theorem (Quantitative idea only)
This is all about Mathematical Background: Scalars and Vectors. I hope that this course is valuable to you and your academic career.
Learning mustn't be stopped here in Udemy .
Thanks for enrolling in this course
Regards
Shivam Dangwal
The University of Sheffield
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About the instructors
- 3.83 Calificación
- 1581 Estudiantes
- 3 Cursos
Shivam Dangwal
Physics Educator
Shivam Dangwal is a physics enthusiast with a passion for teaching and learning. His mission is to help students understand complex concepts in a clear and engaging way, inspiring them to pursue their interests and achieve their goals.
He had worked as a Master Trainer at theState Council of Educational Research and Training (SCERT), Uttarakhand , where he had trained teachers to create e-content and conducted Capacity Building Programme for DIET and Teachers on development on MOOC’s for the DIKSHA and VidyaDaan portal [PM eVIDYA UK180 UTTARAYANI] , initiatives of the Ministry of Education, Govt of India. Additionally, he serves as a Physics Instructor at Udemy, creating various courses for engineering and physics undergraduate students .
He is the founder of Physics For Cause, a hybrid community (online + offline) that shares physics case studies and lectures and their association with multiple disciplines such as mathematics, engineering, geology, and geography. Moreover, he served as a Course Developer at Coursifyme, creating courses such as "Superposition of Waves and Lissajous Figures" for physics undergraduates and engineering students.
As a Course Facilitator and Instructor at Coursifyme and HeyBrain, respectively, he had designed and created free online courses related to physics and its multiple disciplines, promoting academic development.
He hold a Bachelor of Science (Honours) in Physics, from Graphic Era Hill University. He has also completed several licenses and certifications, including Understanding Research Methods from the University of London, Introduction to Programming Using Python and MySQL from Great Learning.
Want to connect him ?
Join the course and we will altogether feel the fundamentals of Physics .
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